2001148434000 has 240 divisors, whose sum is σ = 7018603637760. Its totient is φ = 531405638400.

The previous prime is 2001148433983. The next prime is 2001148434017. The reversal of 2001148434000 is 4348411002.

2001148434000 is a `hidden beast` number, since 200 + 1 + 14 + 8 + 43 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2001148433983) and next prime (2001148434017).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4069417 + ... + 4534583.

It is an arithmetic number, because the mean of its divisors is an integer number (29244181824).

Almost surely, 2^{2001148434000} is an apocalyptic number.

2001148434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001148434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509301818880).

2001148434000 is an abundant number, since it is smaller than the sum of its proper divisors (5017455203760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001148434000 is a wasteful number, since it uses less digits than its factorization.

2001148434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465435 (or 465416 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2001148434000 in words is "two trillion, one billion, one hundred forty-eight million, four hundred thirty-four thousand".